Generalized S transform and its applications for analysis of seismic thin beds

In this paper, the idea of the Stransform is developed. A generalized transform (GST) and its inversion are proposed for analyzing the seismic thin beds. In the GST, the mother wavelet has four types of parameters (amplitude, decay rate of energy, delayed time of energy and apparent frequency) to be chosen according to the object. This causes the GST to be more efficient than the ST. For demonstrating the effectiveness, some synthetic data from several typical models of the thin beds are made. Then with the synthetic data as objects, the ST and GST are used to determine the location of reflectors in the thin beds respectively. The results show that the GST has high precision but the ST does not. When being used for field data, the GST gives good results too.